where \(C_{kl} = E_{kl}^{\alpha } C(E_{kl}^{\alpha })^{{\mathsf {T}}}, A_{kl} = E_{kl}^{\alpha } A_i(E_{kl}^{\alpha })^{{\mathsf {T}}}, 1 \le k < l \le p\) . We can now use standard conic solvers (such as SeDuMi [1]} and MOSEK [2]}) to solve (REF ). This gives an upper bound
\(d^* = p^* \le {\mathsf {U}}_{\alpha }^1.\) 
